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Finding the Fourth Proportional to 97,649.79, 146,485.50 and 31,074.49

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Solution

The fourth proportional to 97,649.79, 146,485.50 and 31,074.49 is: 46,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,649.79 : 146,485.50 = 31,074.49 : x
  2. Step 2: Convert to fraction form
    97,649.79/146,485.50 = 31,074.49/x
  3. Step 3: Cross multiply
    97,649.79x = 146,485.50 × 31,074.49
  4. Step 4: Simplify right side
    97,649.79x = 4,551,962,204.90
  5. Step 5: Solve for x
    x = 4,551,962,204.90/97,649.79
  6. Step 6: Final answer
    x = 46,615.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.